%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG391-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:49:19 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.49s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1104,negated_conjecture,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1106,negated_conjecture,
! [V_xa] :
( V_xa = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Polynomial_Odegree(V_xa,t_a) != c_Polynomial_Odegree(v_cs____,t_a)
| c_Polynomial_Opoly(v_cs____,hAPP(v_x,V_xa),t_a) != c_Polynomial_Opoly(V_xa,hAPP(v_x,V_xa),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3124,plain,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(cnf_transformation,[status(thm)],[f1104]) ).
fof(f3126,plain,
! [X0] :
( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Polynomial_Odegree(X0,t_a) != c_Polynomial_Odegree(v_cs____,t_a)
| c_Polynomial_Opoly(v_cs____,hAPP(v_x,X0),t_a) != c_Polynomial_Opoly(X0,hAPP(v_x,X0),t_a) ),
inference(cnf_transformation,[status(thm)],[f1106]) ).
fof(f3306,plain,
( v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Polynomial_Odegree(v_cs____,t_a) != c_Polynomial_Odegree(v_cs____,t_a) ),
inference(equality_resolution,[status(thm)],[f3126]) ).
fof(f3307,plain,
v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(trivial_equality_resolution,[status(thm)],[f3306]) ).
fof(f3308,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3307,f3124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG391-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 13:23:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.46 % Drodi V4.1.1
% 0.23/0.49 % Refutation found
% 0.23/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.53 % Elapsed time: 0.147235 seconds
% 0.23/0.53 % CPU time: 0.295818 seconds
% 0.23/0.53 % Total memory used: 166.676 MB
% 0.23/0.53 % Net memory used: 165.728 MB
%------------------------------------------------------------------------------